Finite Group Databasebeta

← Group #277908

Character table — Group #277908

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444444448888884488888888824888888888888888822
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-111-1-1
χ4111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1-1-11-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-11
χ71111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1111-1
χ911111111111111-1-1-1-11111111-1-111111-1-1-1-111-11-1-11-1-1-111-1-1-1-1-1-111
χ1011111111111111-1-1-1-11111111-1-111111-1-1-1-1-1-111-1-11-1-11-1-1111111-1-1
χ1111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111-1-111-111-1111111-1-1-1-1
χ1211111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-11-111-1111-1-1-1-1-1-11111
χ1311111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1111111-11-1-1-111-1-1-1-1-111111-1
χ1411111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-11111111-1-1-1-1-11
χ1511111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1-111-11
χ1611111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-11111-1-11-1111-1-1111-1-111-1-11-1
χ172222222-2222-2-2-20000-22222-2-2002222-20000000-200-20000000000000
χ182222222-2222-2-2-20000-22222-2-200-2-2-2-2-2000000020020000000000000
χ192222222-2222-2-2-20000-2-2-2-2-2220022-2-220000000-20020000000000000
χ202222222-2222-2-2-20000-2-2-2-2-22200-2-22220000000200-20000000000000
χ21222222-22-2-2-222-222-2-2-20000002-200000000000000000002i−2i00002i−2i00
χ22222222-22-2-2-222-222-2-2-20000002-20000000000000000000−2i2i0000−2i2i00
χ23222222-22-2-2-222-2-2-222-2000000-2200000000000000000002i−2i0000−2i2i00
χ24222222-22-2-2-222-2-2-222-2000000-220000000000000000000−2i2i00002i−2i00
χ252222-2-222-2-222-2-222-2-2222-2-222-220000-222-2-200000000000000000000
χ262222-2-222-2-222-2-222-2-22-2-222-2-2-2200002-2-22200000000000000000000
χ272222-2-222-2-222-2-2-2-222222-2-2222-20000-2-2-22200000000000000000000
χ282222-2-222-2-222-2-2-2-2222-2-222-2-22-20000222-2-200000000000000000000
χ292222-2-22-2-2-22-2220000-222-2-2-2-20000002000000002i−2i02i−2i00000000000
χ302222-2-22-2-2-22-2220000-222-2-2-2-2000000200000000−2i2i0−2i2i00000000000
χ312222-2-22-2-2-22-2220000-2-2-22222000000-2000000002i−2i0−2i2i00000000000
χ322222-2-22-2-2-22-2220000-2-2-22222000000-200000000−2i2i02i−2i00000000000
χ332222-2-2-2222-22-222222-2000000-2-20000000002-2-200000020000000000
χ342222-2-2-2222-22-222222-2000000-2-2000000000-222000000-20000000000
χ352222-2-2-2222-22-22-2-2-2-2-2000000220000000002-22000000-20000000000
χ362222-2-2-2222-22-22-2-2-2-2-200000022000000000-22-200000020000000000
χ37444444-4-4-4-4-4-4-44000040000000000000000000000000000000000000
χ384444-4-4-4-444-4-44-4000040000000000000000000000000000000000000
χ3944-4-40004000-400004i−4i022−220022−220000000002i2−2i200000000000000000000
χ4044-4-40004000-400004i−4i0−222200−2222000000000−2i22i200000000000000000000
χ4144-4-40004000-40000−4i4i022−220022−22000000000−2i22i200000000000000000000
χ4244-4-40004000-40000−4i4i0−222200−22220000000002i2−2i200000000000000000000
χ4344-4-4000-40004004-400022−2200−2222000000022−220000000000000000000000
χ4444-4-4000-40004004-4000−22220022−220000000−22220000000000000000000000
χ4544-4-4000-4000400-4400022−2200−22220000000−22220000000000000000000000
χ4644-4-4000-4000400-44000−22220022−22000000022−220000000000000000000000
χ474-44-44-4404-4-400000000000000000000000000000000000002i2−2i2000000
χ484-44-44-4404-4-40000000000000000000000000000000000000−2i22i2000000
χ494-44-44-4-40-4440000000000000000004-40000000000000000000000000
χ504-44-44-4-40-444000000000000000000-440000000000000000000000000
χ514-44-4-4440-44-40000000000000000000000000000000000000002i2−2i20000
χ524-44-4-4440-44-4000000000000000000000000000000000000000−2i22i20000
χ534-44-4-44-404-4400000000000000004-4000000000000000000000000000
χ544-44-4-44-404-440000000000000000-44000000000000000000000000000
χ558-8-880000000000000000042−42000000000000000000000000000000000
χ568-8-8800000000000000000−4242000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).